I can see that a conical bag might do the trick if it works as you imagine it might. But it would leave a bit of gathered or folded material on the bottom of the kettle - this "might" be a bad thing if you are trying to add heat to the kettle.
If you think a cone shape would be stronger or easier to sew, then it might be worth a shot, otherwise -- well, the sleeping bag stuff sack design works perfectly.
I dont know about the bag within the bag thing though.... maybe.
My experience and opinion is that the bag shouldn't interfere at all with the mash. The grain should behave as though the bag wasn't there at all. As I have said a couple of times before - your pot should fit inside your bag, if it doesn't, then I think your bag is too small.
As far as being easy/hard to lift out - if you don't try to "hurry" the lift, then you should never be lifting more than 10kg or so, and you only have to hold it up for a little while. Honestly, I am only average/small guy (5'9) and I have lifted and held for draining, a BIAB from a 5.5G batch (about 5kg dry) with one hand, just to prove that I could. If a normal healthy man or woman has trouble with the lifting of a BIAB bag... then my suspicion is that they have used the wrong material or are doing something else wrong. Its just not that heavy.
SBL .. I will PM you the links to the No-Chill info, although I may make a more comprehensive post on the topic soon if no one else does.
Thirsty